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Simplifying 3n + 7 = 4n + 5 Reorder the terms: 7 + 3n = 4n + 5 Reorder the terms: 7 + 3n = 5 + 4n Solving 7 + 3n = 5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 3n + -4n = 5 + 4n + -4n Combine like terms: 3n + -4n = -1n 7 + -1n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -1n = 5 + 0 7 + -1n = 5 Add '-7' to each side of the equation. 7 + -7 + -1n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 5 + -7 -1n = 5 + -7 Combine like terms: 5 + -7 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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